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Simplifying 256m4 + -625 = 0 Reorder the terms: -625 + 256m4 = 0 Solving -625 + 256m4 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '625' to each side of the equation. -625 + 625 + 256m4 = 0 + 625 Combine like terms: -625 + 625 = 0 0 + 256m4 = 0 + 625 256m4 = 0 + 625 Combine like terms: 0 + 625 = 625 256m4 = 625 Divide each side by '256'. m4 = 2.44140625 Simplifying m4 = 2.44140625 Reorder the terms: -2.44140625 + m4 = 2.44140625 + -2.44140625 Combine like terms: 2.44140625 + -2.44140625 = 0.00000000 -2.44140625 + m4 = 0.00000000 Factor a difference between two squares. (1.5625 + m2)(-1.5625 + m2) = 0.00000000 Factor a difference between two squares. (1.5625 + m2)((1.25 + m)(-1.25 + m)) = 0.00000000Subproblem 1
Set the factor '(1.5625 + m2)' equal to zero and attempt to solve: Simplifying 1.5625 + m2 = 0 Solving 1.5625 + m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-1.5625' to each side of the equation. 1.5625 + -1.5625 + m2 = 0 + -1.5625 Combine like terms: 1.5625 + -1.5625 = 0.0000 0.0000 + m2 = 0 + -1.5625 m2 = 0 + -1.5625 Combine like terms: 0 + -1.5625 = -1.5625 m2 = -1.5625 Simplifying m2 = -1.5625 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1.25 + m)' equal to zero and attempt to solve: Simplifying 1.25 + m = 0 Solving 1.25 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + m = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + m = 0 + -1.25 m = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 m = -1.25 Simplifying m = -1.25Subproblem 3
Set the factor '(-1.25 + m)' equal to zero and attempt to solve: Simplifying -1.25 + m = 0 Solving -1.25 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + m = 0 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + m = 0 + 1.25 m = 0 + 1.25 Combine like terms: 0 + 1.25 = 1.25 m = 1.25 Simplifying m = 1.25Solution
m = {-1.25, 1.25}
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